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34412203531431 = 3211546317636257
BaseRepresentation
bin1111101001100001101110…
…01010101101110010100111
311111211202220122001110101200
413310300313022231302213
514002302143101001211
6201104425325253543
710151125324533225
oct764606712556247
9144752818043350
1034412203531431
11aa68151850890
123a393954042b3
131628097c3031b
1486d7b952bb15
153ea218c03b56
hex1f4c372adca7

34412203531431 has 24 divisors (see below), whose sum is σ = 54225474894864. Its totient is φ = 20855809973760.

The previous prime is 34412203531393. The next prime is 34412203531441. The reversal of 34412203531431 is 13413530221443.

34412203531431 is a `hidden beast` number, since 3 + 4 + 4 + 12 + 203 + 5 + 3 + 1 + 431 = 666.

It is not a de Polignac number, because 34412203531431 - 217 = 34412203400359 is a prime.

It is a super-2 number, since 2×344122035314312 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34412203531441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53767255 + ... + 54403511.

It is an arithmetic number, because the mean of its divisors is an integer number (2259394787286).

Almost surely, 234412203531431 is an apocalyptic number.

34412203531431 is a deficient number, since it is larger than the sum of its proper divisors (19813271363433).

34412203531431 is a wasteful number, since it uses less digits than its factorization.

34412203531431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182591 (or 1182588 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 34412203531431 its reverse (13413530221443), we get a palindrome (47825733752874).

The spelling of 34412203531431 in words is "thirty-four trillion, four hundred twelve billion, two hundred three million, five hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 3 9 11 33 99 546317 636257 1638951 1908771 4916853 5726313 6009487 6998827 18028461 20996481 54085383 62989443 347598015469 1042794046407 3128382139221 3823578170159 11470734510477 34412203531431